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Finding the Fourth Proportional to 246.96, 369.78 and 169.86

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Solution

The fourth proportional to 246.96, 369.78 and 169.86 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.96 : 369.78 = 169.86 : x
  2. Step 2: Convert to fraction form
    246.96/369.78 = 169.86/x
  3. Step 3: Cross multiply
    246.96x = 369.78 × 169.86
  4. Step 4: Simplify right side
    246.96x = 62,810.83
  5. Step 5: Solve for x
    x = 62,810.83/246.96
  6. Step 6: Final answer
    x = 254.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.